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The common difference of the AР 1/p, (1 – p)/p, (1 – 2p)/p, ... is ______. (a) p (b) –p (c) –1 (d) 1

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Question

The common difference of the AР `1/p, (1 - p)/p, (1 - 2p)/p,` ... is ______.

Options

  • p

  • –p

  • –1

  • 1

MCQ
Fill in the Blanks
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Solution

The common difference of the AР `1/p, (1 - p)/p, (1 - 2p)/p,` ... is –1.

Explanation:

d = T2 – T1

= `(1 - p)/p - 1/p` 

= `((1 - p) - 1)/p` 

= `-p/p`

= –1

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Chapter 5: Arithmetic Progression - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 296]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 5 Arithmetic Progression
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 1. | Page 296
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